Use our free GCF of Fractions Calculator tool to compute the GCF of 6611/610, 2713/9738 i.e 1/2970090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6611/610, 2713/9738.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6611/610,2713/9738
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6611/610,2713/9738, numerators are 6611,2713
Denominators are 610,9738
The GCF of 6611,2713 is 1 .
LCM of 610,9738 is 2970090.
The greatest common factor of 6611/610,2713/9738 = [GCF of 6611,2713]/[LCM of 610,9738]= 1/2970090
Therefore, the GCF of 6611/610,2713/9738 is 1/2970090.
To find the highest common factor of 6611,2713, we have to find the factors of both numbers and list the highest common factor.
The factors of 6611 are 1, 11, 601, 6611
The factors of 2713 are 1, 2713
The HCF of 6611,2713 is 1.
Lets's calculate GCF of 6611,2713
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6611
:1,11,601,6611
Now, list down the factors of 2713
:1,2713
Greatest Common Factor
We found the factors 6611,2713 . The biggest common factor number is the GCF number.
So the greatest common factor 6611,2713 is 1.
Lets's calculate LCM of 610,9738
2 | 610, 9738 |
305, 4869 |
∴ So the LCM of the given numbers is 2 x 305 x 4869 = 2970090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2970090
Therefore, the GCF of Fractions 6611/610,2713/9738 is 1/2970090
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 610,9738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(610,9738) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(610,9738) x common factors =2 x 1 = 2
LCM(610,9738) = ( 610 × 9738 ) / 2
LCM(610,9738) = 5940180 / 2
LCM(610,9738) = 2970090
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6611,2713?
The HCF of 6611,2713 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6611/610, 2713/9738?
Answer: GCF of Numerators as per given numbers 6611/610, 2713/9738 is
GCF of Numerators i.e. for 6611,2713 is 1
LCM of denominators i.e. for 610,9738 is 2970090.
Thus, GCF of Fractions is 1/2970090.Finally, GCF of Fractions for 6611/610, 2713/9738 is 1/2970090.